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Finding the Fourth Proportional to 11,696.47, 17,549.06 and 7,019.83

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Solution

The fourth proportional to 11,696.47, 17,549.06 and 7,019.83 is: 10,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.47 : 17,549.06 = 7,019.83 : x
  2. Step 2: Convert to fraction form
    11,696.47/17,549.06 = 7,019.83/x
  3. Step 3: Cross multiply
    11,696.47x = 17,549.06 × 7,019.83
  4. Step 4: Simplify right side
    11,696.47x = 123,191,417.86
  5. Step 5: Solve for x
    x = 123,191,417.86/11,696.47
  6. Step 6: Final answer
    x = 10,532.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.